Part A.
Y intercept is the coordinate (0,y), when the function has an x value of 0, it is the y intercept.
In this case:
(0,5) =
y intercept = 5
IT tells about the turtle that it starts at a nest displacement of 5 miles.
Part B
The average rate of change represents the speed .
x1=1 ,y1=27
x2=4 ,y2=93
We have to calculate the slope if the function:
Replace:
Part C.
speed = distance /time
time= distance / speed
time= 225 / 22 = 10.22 hours
The domain will be
0< x ≤ 10.22
Answer:
y=-2x+8
Step-by-step explanation:
first is to find the slope
m=(y2-y1) /(x2-x1)= (2-4)/(3-2)=-2/1= -2
now using the line formula of y=m*x+b, put in one of the points and solve for b.
2= -2*3 + b
2= -6 + b
8 = b
so y= -2*x+8
Answer:
16,767
Step-by-step explanation:
Geometric sequence formula: an = ar^n-1
Now, we just plug in the values.
an = 23(3)^7-1
an = 23(3)^6
an = 23(729)
an = 16,767
There is no solution because the two lines don't intersect.
Answer:
x -3y = - 3
Step-by-step explanation:
Slope of line m = (0 -1 )/(-3 - 0) = 1/3
y - intercept b = 1
Equation of line in slope-intercept form is given as:
y = mx + b
Plugging m = 1/3 and b = 1 in the above equation, we find:
y = 1/3 x + 1
-> 3y = x + 3
-> x -3y = - 3
This is the required equation of line.
